How would you solve this problem?
(s-4/9)(-2/3)=-4/5
To solve this problem, we need to simplify the given equation:
(s - 4/9)(-2/3) = -4/5
Step 1: Distribute the -2/3 to both terms inside the parentheses.
(-2/3) × s + (-2/3) × (-4/9) = -4/5
Step 2: Simplify the multiplication of fractions.
-2s/3 + 8/27 = -4/5
Step 3: Get rid of the fractions by finding a common denominator.
Denominators 3, 27, and 5 have a common multiple of 135. Multiply all terms by 135 to eliminate the fractions.
-2s(135)/3 + 8(135)/27 = -4(135)/5
Step 4: Simplify each term.
-270s + 40 = -108 × 27
Step 5: Multiply and simplify the right side of the equation.
-270s + 40 = -2916
Step 6: Move the constant term to the right side by subtracting 40 from both sides.
-270s = -2916 - 40
-270s = -2956
Step 7: Divide both sides by -270 to solve for s.
s = -2956 / -270
s = 1096/135
Therefore, the solution to the equation is s = 1096/135.